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130120344 = 23341571279
BaseRepresentation
bin1111100000101…
…11101010011000
3100001211210120000
413300113222120
5231302322334
620524533000
73140001414
oct760275230
9301753500
10130120344
11674a4382
12376b1160
1320c5b4b3
14133d1d44
15b654299
hex7c17a98

130120344 has 80 divisors (see below), whose sum is σ = 367065600. Its totient is φ = 43063488.

The previous prime is 130120339. The next prime is 130120387. The reversal of 130120344 is 443021031.

130120344 is a `hidden beast` number, since 1 + 301 + 20 + 344 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 101097 + ... + 102375.

It is an arithmetic number, because the mean of its divisors is an integer number (4588320).

Almost surely, 2130120344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130120344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183532800).

130120344 is an abundant number, since it is smaller than the sum of its proper divisors (236945256).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

130120344 is a wasteful number, since it uses less digits than its factorization.

130120344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1454 (or 1441 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 130120344 is about 11407.0304637097. The cubic root of 130120344 is about 506.7359712061.

Adding to 130120344 its reverse (443021031), we get a palindrome (573141375).

The spelling of 130120344 in words is "one hundred thirty million, one hundred twenty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 157 162 216 314 324 471 628 648 942 1256 1279 1413 1884 2558 2826 3768 3837 4239 5116 5652 7674 8478 10232 11304 11511 12717 15348 16956 23022 25434 30696 33912 34533 46044 50868 69066 92088 101736 103599 138132 200803 207198 276264 401606 414396 602409 803212 828792 1204818 1606424 1807227 2409636 3614454 4819272 5421681 7228908 10843362 14457816 16265043 21686724 32530086 43373448 65060172 130120344